Graphing Piecewise Functions


Graph the piecewise function, function

 

A function must be entered into in order to obtain its graph. Press the key.  The resulting screen should look like the one below:

Screen Picture of TI-83 Calculator

If any of the lines are not blank, move the cursor using the UP or DOWN ARROW keys to the line and press the CLEAR key.  If any of Plot1, Plot2, or Plot3 are highlighted, that Plot must be turned off before proceeding.  To turn a Plot on or off, click here to go to Scatterplot.  

To graph the function, we enter the first part with its domain restriction in y sub 1. To do this enter x^2 - 4divided by(x. Then press  2nd MATH to get the TEST menu. Select 4:greater than or equal to. Next enter -2)divided by(x .Then press  2nd MATH to get the TEST menu once again. Select 6:less than or equal to. Then enter 2) . The result should look as follows:

TI 84 Screen

Now we enter the 2nd part of the function with its restriction in y sub 2. Arrow down to y sub 2 and enter x-2divided by(x. Press 2nd MATH to get the TEST menu. Select 3:< . Next enter 2) . The screen will now look like the image below:

TI 84 screen

Now press Zoom, then 6.  The graph belows shows function plotted in the VIEWING RECTANGLE [-10,10,1] X [-10,10,1].  This standard VIEWING RECTANGLE is obtained by setting it manually with the WINDOW key or by ZOOM 6:ZStandard

 

TI 84 screen

 



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